Progress In Statistical Physics
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Statistical Physics
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Author : Leo P. Kadanoff
language : en
Publisher: World Scientific
Release Date : 2000
Statistical Physics written by Leo P. Kadanoff and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Science categories.
The material presented in this invaluable textbook has been tested in two courses. One of these is a graduate-level survey of statistical physics; the other, a rather personal perspective on critical behavior. Thus, this book defines a progression starting at the book-learning part of graduate education and ending in the midst of topics at the research level. To supplement the research-level side the book includes some research papers. Several of these are classics in the field, including a suite of six works on self-organized criticality and complexity, a pair on diffusion-limited aggregation, some papers on correlations near critical points, a few of the basic sources on the development of the real-space renormalization group, and several papers on magnetic behavior in a plain geometry. In addition, the author has included a few of his own papers.
Progress In Statistical Physics Proceedings Of The International Conference On Statistical Physics In Memory Of Prof Boon
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Author : Jong Hoon Oh
language : en
Publisher: World Scientific
Release Date : 1998-07-31
Progress In Statistical Physics Proceedings Of The International Conference On Statistical Physics In Memory Of Prof Boon written by Jong Hoon Oh and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-07-31 with categories.
The International Conference on the Progress in Statistical Physics was held in commemoration of Professor Choh, who is renowned for his seminal contribution to the kinetic theory of non-dilute fluids, well known as the Choh-Uhlenbeck equation. During the conference, some of the remarkable progress in the field of statistical physics were reviewed and future directions of statistical physics was discussed.
Potts Models And Related Problems In Statistical Mechanics
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Author : Paul Purdon Martin
language : en
Publisher: World Scientific
Release Date : 1991-02-28
Potts Models And Related Problems In Statistical Mechanics written by Paul Purdon Martin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-02-28 with Science categories.
Contents:IntroductionTransfer Matrices: On Commuting Transfer MatricesOn Exactly Solved CasesAlgebra: General PrinciplesTemperley-Lieb Algebra: Generic CasesSpecial CasesGraph Temperley-Lieb AlgebrasHecke AlgebrasAlgebraic Formalism for ZQ SymmetryThe Modelling of Phase TransitionsVertex Models and Related Algebras, Braids and Cables Readership: Mathematical physicists. Keywords:Yang-Baxter Algebras;Algebraic Methods of Statistical Mechanics;Potts Model;Transfer Matrices;Solvable Models;Temperly-Lieb Algebras;Hecke Algebras;Generalized Clifford Algebras;Representations;Partition Functions;Phase Transitions;Vertex Models;Braid GroupReview: “This is an excellent survey of the Potts model and related matters in statistical mechanics. The first chapter constitutes a good introduction to statistical mechanics with a discussion of modelling principles, partition functions and Hamiltonians, lattices, statistical mechanics functions such as free energy. There are good general discussions of phase transitions, order parameters and critical exponents. Then the Potts models are defined and related to dichromatic polynomials and to the special case of the Ising model. The chapter ends with a discussion of block spin renormalization … This book is a fine source of basic results about the Potts model and its mathematical physics environment.” Mathematical Reviews
Thermodynamics Of Information Processing In Small Systems
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Author : Takahiro Sagawa
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-09-14
Thermodynamics Of Information Processing In Small Systems written by Takahiro Sagawa and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-14 with Science categories.
This thesis presents a general theory of nonequilibrium thermodynamics for information processing. Ever since Maxwell's demon was proposed in the nineteenth century, the relationship between thermodynamics and information has attracted much attention because it concerns the foundation of the second law of thermodynamics. From the modern point of view, Maxwell's demon is formulated as an information processing device that performs measurement and feedback at the level of thermal fluctuations. By unifying information theory, measurement theory, and the recently developed theory of nonequilibrium statistical mechanics, the author has constructed a theory of "information thermodynamics," in which information contents and thermodynamic variables are treated on an equal footing. In particular, the maximum work that can be extracted by the demon and the minimum work that is needed for measurement and information erasure by the demon has been determined. Additionally, generalizations of nonequilibrium relations such as a Jarzynski equality for classical stochastic systems in the presence of feedback control have been derived. One of the generalized equalities has recently been verified experimentally by using sub-micron colloidal particles. The results obtained serve as fundamental principles for information processing in small thermodynamic systems, and are applicable to nanomachines and nanodevices.
Progress Of Statistical Physics
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Author : Han'guk-Mulli-Hakhoe Thermal and Statistical Physics Division
language : en
Publisher:
Release Date : 1995
Progress Of Statistical Physics written by Han'guk-Mulli-Hakhoe Thermal and Statistical Physics Division and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.
Generalised Thermostatistics
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Author : Jan Naudts
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-02-07
Generalised Thermostatistics written by Jan Naudts and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-07 with Mathematics categories.
The domain of non-extensive thermostatistics has been subject to intensive research over the past twenty years and has matured significantly. Generalised Thermostatistics cuts through the traditionalism of many statistical physics texts by offering a fresh perspective and seeking to remove elements of doubt and confusion surrounding the area. The book is divided into two parts - the first covering topics from conventional statistical physics, whilst adopting the perspective that statistical physics is statistics applied to physics. The second developing the formalism of non-extensive thermostatistics, of which the central role is played by the notion of a deformed exponential family of probability distributions. Presented in a clear, consistent, and deductive manner, the book focuses on theory, part of which is developed by the author himself, but also provides a number of references towards application-based texts. Written by a leading contributor in the field, this book will provide a useful tool for learning about recent developments in generalized versions of statistical mechanics and thermodynamics, especially with respect to self-study. Written for researchers in theoretical physics, mathematics and statistical mechanics, as well as graduates of physics, mathematics or engineering. A prerequisite knowledge of elementary notions of statistical physics and a substantial mathematical background are required.
Advanced Statistical Mechanics
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Author : Jian-Sheng Wang
language : en
Publisher: World Scientific Publishing Company
Release Date : 2021-11-30
Advanced Statistical Mechanics written by Jian-Sheng Wang and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-30 with Science categories.
This short textbook covers roughly 13 weeks of lectures on advanced statistical mechanics at the graduate level. It starts with an elementary introduction to the theory of ensembles from classical mechanics, and then goes on to quantum statistical mechanics with density matrix. These topics are covered concisely and briefly. The advanced topics cover the mean-field theory for phase transitions, the Ising models and their exact solutions, and critical phenomena and their scaling theory. The mean-field theories are discussed thoroughly with several different perspectives -- focusing on a single degree, or using Feynman-Jensen-Bogoliubov inequality, cavity method, or Landau theory. The renormalization group theory is mentioned only briefly. As examples of computational and numerical approach, there is a chapter on Monte Carlo method including the cluster algorithms. The second half of the book studies nonequilibrium statistical mechanics, which includes the Brownian motion, the Langevin and Fokker-Planck equations, Boltzmann equation, linear response theory, and the Jarzynski equality. The book ends with a brief discussion of irreversibility. The topics are supplemented by problem sets (with partial answers) and supplementary readings up to the current research, such as heat transport with a Fokker-Planck approach. Contents: Preface; Thermodynamics; Foundation of Statistical Mechanics, Statistical Ensembles; Quantum Statistical Mechanics; Phase Transitions, van der Waals Equation; Ising Models and Mean-Field Theories; Ising Models: Exact Methods; Critical Exponents, Scaling, and Renormalization Group; Monte Carlo Methods; Brownian Motion -- Langevin and Fokker-Planck Equations; Systems Near and Far from Equalibrium; The Boltzmann Equation; Answers to Selected Problems; Bibliography; Index
Exactly Solved Models In Statistical Mechanics
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Author : Rodney J. Baxter
language : en
Publisher: Courier Corporation
Release Date : 2007-01-01
Exactly Solved Models In Statistical Mechanics written by Rodney J. Baxter and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-01 with Science categories.
Exploration of two-dimensional lattice models examines basic statistical mechanics, Ising models, spherical models, ice-type models, corner transfer matrices, and elliptic functions. 1982 edition, with author's 2007 update on subsequent developments.
Statistical Physics Of Particles
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Author : Mehran Kardar
language : en
Publisher: Cambridge University Press
Release Date : 2007-06-07
Statistical Physics Of Particles written by Mehran Kardar and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-06-07 with Science categories.
Statistical physics has its origins in attempts to describe the thermal properties of matter in terms of its constituent particles, and has played a fundamental role in the development of quantum mechanics. Based on lectures taught by Professor Kardar at MIT, this textbook introduces the central concepts and tools of statistical physics. It contains a chapter on probability and related issues such as the central limit theorem and information theory, and covers interacting particles, with an extensive description of the van der Waals equation and its derivation by mean field approximation. It also contains an integrated set of problems, with solutions to selected problems at the end of the book and a complete set of solutions is available to lecturers on a password protected website at www.cambridge.org/9780521873420. A companion volume, Statistical Physics of Fields, discusses non-mean field aspects of scaling and critical phenomena, through the perspective of renormalization group.
Progress In Statistical Mechanics
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Author :
language : en
Publisher:
Release Date : 1988
Progress In Statistical Mechanics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Statistical mechanics categories.